Printer Friendly
Dictionary, Encyclopedia and Thesaurus - The Free Dictionary
1,761,742,233 visitors served.
forum mailing list For webmasters
?
New: Language forums
Dictionary/
thesaurus
Medical
dictionary
Legal
dictionary
Financial
dictionary
Acronyms
 
Idioms
Encyclopedia
Wikipedia
encyclopedia
?

infinite set

   Also found in: Wikipedia 0.01 sec.
infinite set [′in·fə·nət ′set]
(mathematics)
A set with more elements than any fixed integer; such a set can be put into a one to one correspondence with a proper subset of itself.
(mathematics)infinite set - A set with an infinite number of elements. There are several possible definitions, e.g.

(i) ("Dedekind infinite") A set X is infinite if there exists a bijection (one-to-one mapping) between X and some proper subset of X.

(ii) A set X is infinite if there exists an injection from N (the set of natural numbers) to X.

In the presence of the Axiom of Choice all such definitions are equivalent.


How to thank TFD for its existence? Tell a friend about us, add a link to this page, add the site to iGoogle, or visit webmaster's page for free fun content.
?Page tools
Printer friendly
Cite / link
 Email
Feedback
? Mentioned in ? References in periodicals archive
 
Oddly enough, by this measure, the infinite set of counting numbers {1, 2, 3, .
Infinite wisdom: a new approach to one of mathematics' most notorious ... by Klarreich, Erica / Science News
ExaStore CDP offers advanced Point-in-Time[TM] functionality, which enables users to capture an infinite set of snapshots, enabling a return to any given recovery point.
Exanet Announces Groundbreaking ExaStore - ICM (Intelligent Cluster ... by Business Wire
ExaStore CDP(TM) enhances an organization's ability to quickly and easily recover critical data by giving administrators access to a virtually infinite set of data recovery points, securely and continuously delivering the right file to the right client at the right time.
Exanet Unveils Industry's First Fully Integrated Continuous Data ... by Business Wire
More results
 
Encyclopedia browser? ? Full browser
 
 
Encyclopedia
?

Disclaimer | Privacy policy | Feedback | Copyright © 2009 Farlex, Inc.
All content on this website, including dictionary, thesaurus, literature, geography, and other reference data is for informational purposes only. This information should not be considered complete, up to date, and is not intended to be used in place of a visit, consultation, or advice of a legal, medical, or any other professional. Terms of Use.